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Let, f:[0,1]to RR (the set of all real n...

Let, `f:[0,1]to RR` (the set of all real numbers) be a function. Suppose the function f is twice differentiable, `f(0)=f(1)=0` and satisfies `f''(x)-2f'(x)+f(x) ge e^(x),x in[0,1]`
Which of the following is true for `0lt x lt 1` ?

A

`0 lt f(x) lt oo`

B

`-(1)/(2)lt f(x) lt (1)/(2)`

C

`-(1)/(4)lt f(x) lt1`

D

`-oolt f(x) lt0`

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